Finite-sample distribution of regression quantiles

The finite-sample distributions of the regression quantile and of the extreme regression quantile are derived for a broad class of distributions of the model errors, even for the non-i.i.d case. The distributions are analogous to the corresponding distributions in the location model; this again conf...

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Veröffentlicht in:Statistics & probability letters 2010-12, Vol.80 (23), p.1940-1946
1. Verfasser: JURECKOVA, Jana
Format: Artikel
Sprache:eng
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Zusammenfassung:The finite-sample distributions of the regression quantile and of the extreme regression quantile are derived for a broad class of distributions of the model errors, even for the non-i.i.d case. The distributions are analogous to the corresponding distributions in the location model; this again confirms that the regression quantile is a straightforward extension of the sample quantile. As an application, the tail behavior of the regression quantile is studied.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2010.08.023